At the beginning of a year, X and Y jointly start a business with Rs. 24,000 and Rs. 30,000 respectively. After 5 months , X invests an additional Rs. - Quantitative Aptitude MCQ Practice Test 2026 | ExamTest.live

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At the beginning of a year, X and Y jointly start a business with Rs. 24, 000 and Rs. 30, 000 respectively. After 5 months, X invests an additional Rs. 12, 000 into the business. If the total profit at the end of the year is Rs. 14, 030, determine each partner's share of the profit.

Solution & Step-by-step Explanation

Let us compute the equivalent capital for a single month for both X and Y. For X: * Rs. 24, 000 worked for the initial 5 months . * Then, capital increased to 24000 + 12000 = Rs. 36, 000, which remained for the remaining 12 - 5 = 7 months . Equivalent Capital of X = (24000 \times 5) + (36000 \times 7) Equivalent Capital of X = 120000 + 252000 = Rs. 3, 72, 000 For Y: * Rs. 30, 000 remained invested for all 12 months . Equivalent Capital of Y = 30000 \times 12 = Rs. 3, 60, 000 Ratio of their net equivalent capitals: X : Y = 372000 : 360000 = 372 : 360 = 31 : 30 Sum of ratio components: 31 + 30 = 61 Total profit = Rs. 14, 030 Profit share of X: \frac{31}{61} \times 14030 = 31 \times 230 = Rs. 7130 Profit share of Y: \frac{30}{61} \times 14030 = 30 \times 230 = Rs. 6900

Try it yourself before checking the explanation above.

At the beginning of a year, X and Y jointly start a business with Rs. 24, 000 and Rs. 30, 000 respectively. After 5 months, X invests an additional Rs. 12, 000 into the business. If the total profit at the end of the year is Rs. 14, 030, determine each partner's share of the profit.

Rs. 8130, Rs. 5900

Rs. 9130, Rs. 4900

Rs. 7130, Rs. 6900

Rs. 6130, Rs. 7900

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